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Finding the Third Proportional to 635,073 and 1,369,857

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Solution

The third proportional to 635,073 and 1,369,857 is: 2,954,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,073 : 1,369,857 = 1,369,857 : x
  2. Step 2: Convert to fraction form
    635,073/1,369,857 = 1,369,857/x
  3. Step 3: Cross multiply
    635,073x = 1,369,857 × 1,369,857
  4. Step 4: Simplify right side
    635,073x = 1,876,508,200,449
  5. Step 5: Solve for x
    x = 1,876,508,200,449/635,073
  6. Step 6: Final answer
    x = 2,954,791.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.